How many rubber bands are needed to cause an object with half the mass to accelerate six times as quickly?

Answers

Answer 1

The number of rubber bands that will cause an object with half the mass to accelerate six times as quickly is 6.

Newton's second law of motion is a quantitative depiction of the progressions that a power can create on the movement of a body. It expresses that the time pace of progress of the energy of a body is equivalent in both greatness and bearing to the power forced on it. The force of a body is equivalent to the result of its mass and its speed.

So,we have given some of parameters like,

number of rubber band = 2acceleration = aLet the mass of the object = m

The force applied to the object by the two rubber bands, according to newton second law of motion is

F = ma

2 = ma--------(eq1)

When the mass of the object is halved, the number of rubber bands required is calculated as;

2/ma=n/(m/2)×6a

=>2/ma=2n/6ma

=>n=(2/ma)×(6ma/2)

=>n=6

Hence,6 rubber bands will be needed.

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(Complete question) is:

Two rubber bands cause an object to accelerate with acceleration a. How many rubber bands are needed to cause an object with half the mass to accelerate six times as quickly?


Related Questions

Direction: Use the word bank to answer the following questions. Each word will be used only once. Crest Frequency Mechanical Infrared Trough Transverse Radio Gamma Wavelength Longitudinal Ultraviolet X-rays Visible Light Amplitude Electromagnetic___________________ is the maximum distance that matter is displaced from the resting position.

Answers

The largest distance that matter can be pushed from its resting position is called the electromagnetic amplitude.

What does electromagnetic wave amplitude mean? For your responses, refer to the word bank.Only one instance of each term will be utilized.Inflation Rate Transmission of Transverse Infrared through Mechanical Beta Wavelength Longitudinal ultraviolet X-rays Visible Amount of light .The largest distance that matter can be pushed from its resting position is called the electromagnetic amplitude.The wavelength of electromagnetic waves, which is the space between succeeding peaks and is measured in units of length, and the intensity, or amplitude, which is the height of each peak, are the two main characteristics of these waves.X and gamma rays can be seen on the far right.These electromagnetic waves are the ones with the highest frequencies and the shortest wavelengths.Furthermore, they are the most energetic.

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How many grams are in 1 mole of aspartame?.

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We are aware that there are 6.02*10^23 molecules in 1 mole of aspartame molecules.

To translate between mass and particle count, utilize the mole idea. 6.02*10^23 units of a material make up one mole (such as atoms, molecules, or ions). Avogadro's number or Avogadro's constant is the quantity 6.02*10^23.

The mass of one atoms, molecules, or formula units make up one mole of a substance, which is known as the molar mass of that substance. This value is represented in grams per mole.

Avogadro's number can be used to convert between molecules and moles by multiplying or dividing:

The amount of moles must be multiplied by 6.02 x 10^23 to convert to molecules.Divide the number of molecules by 6.02 x 10^23 to convert it to moles.

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an elevator is moving from up in a building. as it nears the 6th floor it slows down at a rate of 0.10m/s. a 75 kg man is standing on a scale inside the elevator. what is the scale reading?

Answers

To calculate the scale reading for the 75 kg man in the elevator as it slows down, we need to use the concept of weight. The weight of an object is the force exerted on it due to gravity and is given by the equation:

Weight = mass * gravitational acceleration

where the mass is given as 75 kg and the gravitational acceleration is 9.8 m/s^2.

So the weight of the 75 kg man would be:
Weight = 75 kg * 9.8 m/s^2 = 735 N

Now, when the elevator slows down, there is a force acting on the person in the opposite direction of the motion, called the apparent weight and it is given by the equation:

Apparent weight = weight - normal force

where the normal force is given by:

Normal force = m * a

where m is the mass of the object and a is the acceleration of the elevator.

As the elevator slows down, the acceleration of the elevator is the negative of the deceleration, which is -0.10 m/s^2.

So, the normal force = m * a = 75 kg * -0.10 m/s^2 = -7.5 N

Now, the apparent weight = weight - normal force = 735 N - (-7.5 N) = 735 N + 7.5 N = 742.5 N

So the scale will read 742.5 N or 742.5 kg.

Does latency affect performance?.

Answers

Yes, latency affect performance.

Latency  affect performance, especially in applications that require real-time communication or control. Latency refers to the amount of time it takes for a data packet to travel from its source to its destination, and it is typically measured in milliseconds (ms). High latency can result in delays, which can lead to slower response times, decreased throughput and lower quality of service.

In applications such as online gaming, financial trading, virtual reality, video conferencing and autonomous vehicles, high latency can lead to a poor user experience, as the actions of the user are not reflected quickly on the screen. It can also lead to errors and inaccuracies in the execution of trades or the operation of self-driving cars.

In other applications such as streaming services or website, high latency can result in buffering, interruptions, and poor video quality which can lead to a poor user experience.

In summary, latency can have a significant impact on performance, especially in applications that require real-time communication or control, and it is important to keep latency as low as possible to ensure good performance and a good user experience.

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What is latency and why is it important?.

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Latency is the amount of time it takes for a packet of data to travel from its origin to its destination. Latency is measured in milliseconds.

In general, latency is a time delay between the cause and effect of some physical change in the system being observed. Lag, as it is known in gaming circles, is the time lag between the input to a simulation and the visual or auditory response, which is frequently caused by network latency in online games.

Latency is caused by the limited velocity at which any physical interaction can propagate. This velocity's magnitude is always less than or equal to the speed of light. As a result, regardless of the nature of the stimulation, every physical system with any physical separation (distance) between cause and effect will experience some sort of latency.

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Match each variable to the unit associated with it.

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The units of the derived quantities are matched as;

P → wattsW → Joulesη → %IMA → no units

What is derived units?

Derived units are units of measurement derived from the seven base units specified by the International System of Units (SI).

The following are some derived quantities and their corresponding derived units.

Power, P, is measured in wattsWork, W, is measured in JoulesEfficiency, η, is measured in percentage ( % ) Ideal mechanical advantage ( IMA ), is dimensionless because it is the ratio of output force to input force. So it will have no units.

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What is the formula of work and dimensional formula?.

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Work is the product of force vector and displacement vector. Its formula is W = F × d × sinθ and Its dimension formula is [ML²T⁻²].

Work is the product of force vector(F) and displacement vector(d), but work is a scalar quantity in itself. It does not have direction, it only has magnitude. Work is said to be done when the object gets displaced in the direction of the force applied. Its SI unit is Joule, which is equal to kg-m²/s².

W = F × d × sinθ

Where θ is the direction of force with respect to the displacement.

Its dimension would be, T = [MLT⁻²] × [L] = [ML²T⁻²]

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tony made a list of all fruits that have only one seed and recorded their shape and size. what can he find out from the list

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Information that Tony can find out from the list of fruits with only one seed and shape of the seed include:

Patterns in fruit shapePatterns in fruit sizeRelationships between shape and size

What can Tony find out ?

Tony may be able to notice patterns in the shape of the fruits on his list. For example, he may notice that most of the fruits on the list are round or oval in shape. Tony may be able to notice patterns in the size of the fruits on his list. For example, he may notice that most of the fruits on the list are small or medium-sized.

Tony may be able to notice relationships between the shape and size of the fruits on his list. For example, he may notice that round or oval-shaped fruits tend to be smaller than those that are elongated or irregular in shape.

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What risks were taken by general macarthur, the commander of the united nations forces, when he ordered the invasion at inchon?.

Answers

The Inchon invasion put a strain on the resources of the UN forces, as they had to commit significant amounts of manpower and material to the battle.

What is the amounts ?

The amount is the total number or quantity of something. It can refer to a physical unit that is being measured, such as a volume or distance, or it can refer to a monetary value. In terms of money, it is the numerical value of a financial transaction. It is also used to refer to the sum or total of certain elements in a set or collection, such as the count of a certain type of item.

1. Risk of Failure: The Inchon invasion was a risky endeavor, as it relied on a daring and unorthodox maneuver. It was a high-stakes gamble with the possibility of failure that could have had disastrous consequences for the United Nations forces.

2. Risk of Casualties: Any military operation carries with it the risk of casualties. The Inchon invasion was no exception, with the potential for heavy casualties among the UN forces.

3. Risk of Surprise: The Inchon invasion was a surprise attack, and it was possible that the North Korean forces could have been prepared and ready to repel the invasion.

4. Risk of Overstretched Resources: The Inchon invasion put a strain on the resources of the UN forces, as they had to commit significant amounts of manpower and material to the battle. This could have led to an overextension of resources and left the UN forces vulnerable elsewhere.

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If the rms value is 125 volts, what is the peak value?

Answers

A peak-to-peak voltage (VP-P) number from the peak voltage, RMS amperage, or average voltage is displayed using this calculator.

Explain what voltage is.

When charged electrons (current) are forced through a conducting loop by the pressure of an electric circuit's power source, they can perform tasks like lighting a lamp. In a nutshell, voltage equals pressure and is expressed in volts (V).

Why is voltage named that?

A derived unit for electrostatic field, voltage, & electromotive force is the volt (symbol: V). The Italian physicist Eugenio Volta (1745–1827), who created the voltaic pile, arguably the first chemical battery, is honoured by having his name attached to the volt.

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How can we calculate force?.

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What is the formula for force? The force formula is defined by Newton's second law of motion: Force exerted by an object equals mass times acceleration of that object: F = m ⨉ a. To use this formula, you need to use SI units: Newtons for force, kilograms for mass, and meters per second squared for acceleration.

Are moles and molecules the same?.

Answers

Thus, a mole is an amount of 6.02210^23 particles, whereas a molecule has several atoms of different elements that are chemically connected to one another.

We use a unit called a mole to scale up from the molecular level to the laboratory level. A mole of a substance is the same number of molecules of that substance as there are carbon-12 atoms in precisely 12 g of the element. Chemists employ the mole, a very significant unit of measurement.

Like a dozen eggs means twelve eggs, having a mole of anything indicates you have 602,214,076,000,000,000,000,000 (equals to  6.02210^23) of that thing. For extremely small objects like atoms, molecules, or other particles, chemists must quantify using moles.

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What is the process called when the molecules of a substance are retained at the surface of a solid or a liquid absorption adsorption sorption desorption?.

Answers

Adsorption is a process that involves the aggregation of a substance's molecules in higher concentration on a solid or liquid's surface. For instance, the surface of charcoal absorbs gases.

Adsorption describes the process by which molecules are attracted to the external or internal (capillary walls or crevices) surfaces of solids or liquids, respectively.

In general, whereas sorption is a less confined process that can either be adsorption or absorption, adsorption is a surface process that results in the transfer of a molecule from a solution bulk to a solid surface. Sorption is the phenomena of fixing or capturing a gas or vapour by a material in a condensed condition known as sorbent.

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2. The timing mechanism in a grandfather's clock is based on the principles of a simple
pendulum. If your clock is gaining time (running fast) what should you do to get it running
more accurately?

Answers

To get a grandfather clock running more accurately, if it is gaining time, you should adjust the length of the pendulum.

How to adjust the length of the pendulum?

This can typically be done by moving the pendulum bob up or down the pendulum rod. A shorter pendulum will cause the clock to run faster, while a longer pendulum will cause it to run slower.

It is important to make small adjustments and wait for the clock to stabilize before making further adjustments. It's also recommended to consult the clock's manual for instructions on how to adjust the pendulum length.

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Rank the six combinations of electric charges on the basis of the electric force acting on q1. Define forces pointing to the right as positive and forces pointing to the left as negative.

Answers

Therefore, even though the charge is negative, the mod will make it positive, making the electric field also positive. Consequently, the electric field is always positive.

What is positive and negative forces?Force is the pushing or pulling of an object. The force acting on a body in the opposite direction from the applied force is referred to as a negative force. Positive force is applied, and it is directed to the right, as opposed to negative force, which is directed to the left.This means that two positively charged items will push or repel one another if they get close to one another. A positively charged object and a negatively charged object will be drawn to one another and attempt to combine if they are in close proximity.A small positive test charge q is subjected to the Coulomb or electrostatic force F, which is the definition of the electric field E as E=Fq E = F q.

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What is the angle between the two vectors 3i 4j 5k and 3i 4j 5k?.

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The vectors are 3i 4j 5k and 3i 4j 5k, which are identical. Therefore, there is no angle between them.

The angle between two vectors can be found by using the dot product formula which is (A.B) = (||A|| * ||B||) cos(theta)

in vector mathematics, the angle between two vectors can be calculated using the dot product of the vectors. The dot product is a scalar value that is equal to the product of the magnitudes of the vectors and the cosine of the angle between them.

In this case, the vectors are 3i 4j 5k and 3i 4j 5k, which are identical. So the dot product of the vectors will be (3i 4j 5k).(3i 4j 5k) = (33 + 44 + 5*5) = 3^2 + 4^2 + 5^2 = 9 + 16 + 25 = 50

The angle between two identical vectors is 0 degrees.

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How will the electrostatic force be changed if the distance between two electric charges is doubled and one of the charges is tripled?.

Answers

The product of the charges and the square of the separation distance have opposite effects on the electrostatic force. The force would be tripled if one of the charges were tripled.

The force would be reduced by nine times with a tripling of the distance.

When there is a doubled distance between two charges, what will happen to the electrostatic force?

As the distance between the two charges increases by a factor of four, so does the magnitude of the force. As a result, the attraction or repulsion decreases to one-fourth of its original value if the distance between the two charges is doubled.

If the distance between two charges is tripled, what happens to the force between them?

The force between two charged objects is inversely proportional to the square of their distance, according to Coulomb's Law. As a result, the force will weaken by a factor of 9 if the distance is tripled.

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What are the examples of renewable and nonrenewable resources?.

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A renewable resource, also known as a flow resource, is a resource that gets replenished naturally to replace the portion depleted by usage and consumption.

Examples: solar energy, tidal energy, wind energy, hydro power, bio-energy etc.

A non-renewable resource is a natural resource that cannot be readily replaced by natural means at a pace equal to keep up with consumption rate.

Examples: fossil fuels, natural gas, nuclear energy, natural gas etc

Which of these minerals could be used to make glass windows?A. calciteB. gypsumC. quartzD. hematiteE. clay minerals

Answers

Quartz is the most common type of mineral used to make glass windows. It is a hard, transparent mineral that can be melted and cooled to form glass.

Which minerals use to make glass windows?

Typical minerals used in the production of glass windows include quartz, feldspar, dolomite, and sodium carbonate. Quartz is a mineral form of silicon dioxide and is the main component of glass windows.

Feldspar is a group of minerals that provide strength and rigidity to the window glass. Dolomite is a magnesium-rich mineral which adds clarity and brilliance to glass. Sodium carbonate is an alkaline mineral which helps reduce the amount of energy required to manufacture glass.

Other materials used to make glass windows are calcium oxide, boron oxide, and lead oxide. Calcium oxide helps to reduce the amount of heat conductivity through the glass window.

Boron oxide helps to increase the strength of the glass and reduce the amount of thermal expansion. Lead oxide is added to give the glass a higher refractive index and to enable the glass to be shaped into curved or other intricate designs.

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Please help. Step-by-step explanation would be appreciated

Answers

Answer: 170 degrees

Explanation:
We can think of the Cartesian plane as having a total angle of 360x degrees where x is the amount of times you circle in the plane. Since there are four quadrants, we can say that each quadrant is 90 degrees. Knowing this, let’s tackle the problem.

As show, we have the measure of the bend from quadrant 2 as 80 degrees. And we know we have a complete rotation on quadrant 1 so that is 90 degrees. We can say the following:

Theta = 90 + 80
Theta = 170

Hence the angle for vector B is 170 degrees.

Cheers.

At 170 degrees A vector's orientation, or the angle it forms with the x-axis, determines its vector's direction.

How do you determine a vector's direction?

A vector's direction is determined by the angle it forms with a horizontal line. tan=y2 y1x2 x1, where (x1,y1) and (x2,y2) are the initial and terminal points, respectively.

What is the secret to getting things done?

Use the formula = arctan(y/x) to determine the direction of the vector v = (x, y), where is the smallest angle the vector makes with the horizontal axis and x and y are its component vectors.

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A proton, a deuteron (a hydrogen nucleus containing one proton and one neutron), and an alpha particle (a helium nucleus consisting of two protons and two neutrons) initially at rest are all accelerated through the same distance in the uniform electric field created by a very large charged plate.

Answers

Alpha particles have twice the momentum of deuterium and have a magnitude of 4. The momentum of a proton is magnitude 1.4.

A proton carries a single positive charge q (a proton is positive), a deuterium carries 2q (two protons) and an alpha particle also he carries 2q (two protons). A proton has a unit mass of m, a deuterium is 2m (containing 1 proton and 1 neutron), and an alpha particle is 4m (containing 2 protons and 2 neutrons). The electric force on a particle of charge q moving through a plate of charge Q is

[tex]F_e[/tex] = [tex]\frac{KQq}{r^2}[/tex]

K is a constant and r is its separation distance.

yes,

For proton [tex]F_e[/tex] =  [tex]\frac{KQq}{r^2}[/tex]

For deuterium[tex]F_e[/tex] = [tex]\frac{KQq}{r^2}[/tex]

for the alpha part. [tex]F_e[/tex] = 2 [tex]\frac{KQq}{r^2}[/tex]

When a particle moves through an electric field, the kinetic energy of the particle is described according to energy conservation.

Work done = [tex]F_e[/tex]  × r (force x displacement) = 0.5 [tex]mv^2[/tex](half mass x its velocity squared).

For proton KE = [tex]\frac{KQq}{r}[/tex]

Deuterium KE =  [tex]\frac{KQq}{r}[/tex]

alpha part. KE = 2 [tex]\frac{KQq}{r}[/tex]

That is, the proton's kinetic energy is equal to that of deuterium, which is half the kinetic energy of the alpha part. The kinetic energy of particles is equal to the word expended by these particles as they move through the field, so KE = W

For proton  [tex]\frac{KQq}{r}[/tex]= 0.5  [tex]mv^2[/tex]

V = [tex]\sqrt{2\frac{KQq}{mr}}[/tex]

Let's put in the square root of[tex]\frac{KQq}{mr}[/tex] = b

Therefore V = [tex]2^{0.5}[/tex] × w = 1.4b

Deuterium and alpha moieties velocities using the same transpose and method. Each.

V=b.

and

V = b

This means that the proton velocity is 1.4 times that of deuterium and the velocity of the alpha part.

For the momentum part, remember that momentum is the product of mass and velocity mv.

proton momentum = m × 1.41b

= 1.41MB

for deuterium = 2m × b

= 2MB

for the alpha part. = 4m*b

= 4MB

Alpha particles have twice the momentum of deuterium and have a magnitude of 4. The momentum of a proton is magnitude 1.4. From the velocity magnitudes above, we can see that the alpha portion and deuterium take the same amount of time. Protons take 1.4 times less time than deuterium and alpha moieties.

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A proton, a deuteron (a hydrogen nucleus containing one proton and one neutron), and an alpha particle (a helium nucleus consisting of two protons and two neutrons) initially at rest are all accelerated through the same distance in the uniform electric field created by a very large charged plate. Compare their final (a) kinetic energies, (b) momentum magnitudes, (c) speeds, and (d) time intervals needed to cover the distance. (e) How do the changes in electric potential energy compare?

Who is the father of gravity?.

Answers

Isaac Newton

Isaac Newton formulated gravitational theory in 1665 or 1666 after watching an apple fall and asked why the apple fell straight down, rather than sideways or even upward.

SoOoOo,

Issac Newton :)

There is a child riding a wagon being pulled down the street. If someone said the child was not moving, what reference point could they have been using?

Answers

The wagon is the correct frame of reference to be used here.

What is a frame of reference?

We have to note that the idea of relativity was first introduced to us by the man Albert Einstein. We have to note that the frame of reference would have to be the object that is moving.

Looking at the question, we have been told that; there is a child riding a wagon being pulled down the street then we are also told that the child was not moving. Hence the wagon that moves is the correct frame of reference.

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How do you find the acceleration of a ball down a ramp?.

Answers

To find acceleration of a ball down a ramp you have to:

Determine the gravity value. If the object is on the earth it would be 9.8Determine the angle of the field with the horizontal field.Calculate the acceleration by multiply gravity with sinus angle.

What is acceleration?

Acceleration is a condition where the object are moving in different velocity each time where the value of difference has to be positive. Basic formula for velocity is ΔV : t. The opposite of acceleration is deceleration where the first velocity is higher than the second.

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How do you find the magnitude of three vectors?.

Answers

The magnitude of a vector is a scalar value that represents the length or size of the vector. It can be found by using the Pythagorean theorem.

The square root of (the x component squared + the y component squared + the z component squared)

For example, if the vector is (3, 4, 2), then you would find the magnitude as follows:

Square the x component (3) to get 9

Square the y component (4) to get 16

Square the z component (2) to get 4

Add the squares (9 + 16 + 4) to get 29

Take the square root of the sum (√29) to get the magnitude, which is approximately 5.38516

So the magnitude of the vector (3, 4, 2) is 5.38516

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the maximum number of electrons that can occupy the third principal energy level is_________.
a) 18
b)32
c)2
d)8

Answers

The maximum number of electrons that can occupy the third principal energy level is 18.

The number of orbitals associated with an energy level determines the maximum number of electrons that can exist at that level. Each orbital may accommodate a maximum of two electrons. Those electrons in an atom's highest energy level, known as the valence level, are the ones that give the atom its name. They are responsible for determining many of an atom's attributes, notably its level of reactivity.

Bohr and Bury came up with the formula 2n² to figure out the maximum number of electrons that can be accommodated in an orbit. This number may be found by using the formula.

In this case, we are given that the number of orbit (n) is 3.

Hence, the maximum number of electrons:

2n² = 2 × 3² = 18

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What is the weight of a 1 kg mass on Earth g 9. 8 m s2 class 9?.

Answers

The weight of a 1 kg mass on Earth g 9.8 m/s² is 9.8 N.

What is weight?

Weight is the name for the gravitational force that pulls objects towards the centre of the Earth. Gravity plays a role in the subsequent force that draws a mass to the planet. Thus, this force only exists between Earth and a mass, as opposed to gravitational force, which exists between any two masses.

The gravitational pull exerted by two objects when they are close to one another is determined by their individual masses and the inverse square of their individual distances. When two objects are farther apart, the forces between larger objects are stronger and the attraction between smaller objects is weaker. Newton's single weight equation can explain the relationship.

We know that force

F = ma

F = force

m = mass of an object

a = acceleration

Here,

a = g = 9.8 m/s²

m = 1 kg

Then

Force, F = 1 × 9.8

= 9.8 N

Thus, the weight of a 1 kg mass on Earth g 9.8 m/s² is 9.8 N.

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What is Newton's 2nd law measured in?.

Answers

Newton's second law is measured in force. The required magnitude of force can be computed by taking the product of mass and acceleration of any body.

Mathematically, F = m a, where, F is the force, m is mass, a is acceleration.

In the above relation, force and acceleration are vectors.

Second law can also be explained as the rate of change of momentum which is directly related with that of applied force.

F ∝ m (v - u )/t

where, v is final velocity

u is initial velocity

m is mass

t is time

F is applied force

Thus, Newton's second law is measured in force.

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Can parallel forces be added together?.

Answers

Answer:

To find the magnitude of two or more parallel forces, simply add them together. Then, to find location of the resultant, you need to first multiply each force by the distance to where it is applied.

Explanation:

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How do you calculate 9. 8 m s2?.

Answers

9.8 m/s² is the value of acceleration due to gravity of the earth. It is  a vector quantity.

Acceleration due to gravity of the earth is mathematically defined as

g = GM/R²......(1)

Where G is the universal gravitational constant, M is the mass of the earth, and R is the radius of the earth or the distance of the object on which the acceleration due to gravity of the earth is to calculate.

We know the mass of the earth, M = 5.972 × 10²⁴ kg

Radius of the earth, R = 6.4 × 10⁶ m

Value of G, = 6.67 × 10⁻¹¹ N-m²/kg²

So, g = (6.67 × 10⁻¹¹ × 5.972 × 10²⁴)/(6.37 × 10⁶)²

g = 9.8 m/s²

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What was the cause of Hindleys cruel behavior toward Heathcliff?The answers C. Hindleys father or something favored heathcliff Why is it important to study cancer cells?. The Taj Mahal is the best example of the palaces, tombs, and forts that demonstrate the architectural influence of? write the equation of the trigonometric graph. use a positive coefficient on sine for this activity. How did the Soviet Union respond to the 1986 Chernobyl nuclear disaster? which of the following areas of the law are of special concern to international businesses? (check all that apply.) the study of structure or morphology of body parts is compound used by cells to store and release energy write code that outputs text around variable numcups as below. if the input is 2, the output should be: there are 2 cups. Which of the following changes in the supply of and the demand for a good will definitely result in a decrease in both the equilibrium price and quantity of the good? Supply Demand (A) Increase Increase (B) Increase No change (C) No change Decrease (D) Decrease Increase (E) Decrease Decrease The difference between three times a number and four is seventeen what does working capital management encompasses? what functional are involved and what underlying principle or trade-off influences the decision process? Jack bought 25 yard of fabric for $75. How much would 96 yard of the ame fabric cot? What i the rate of the fabric per yard? the earth's innermost layer is known as the core when considering [ select ] properties, but is broken into 2 layers, outer core and inner core, when discussing [ select ] properties. Is Y =- 3 a horizontal line?. Mitchell and his friends go out to eat at Perfect Slice Pizzeria.They order to large pizzas to share.Each large pizzas has 16 slices.Mitchell and friends split it between the 8 of them match the five stages that a prospective buyer goes through, known as the hierarchy of effects, to their definitions. Which of the following is/are EXTERNAL environmental factors that affect(s) performance-based pay?(a) Business strategy. (b) Company culture.(c) The legal environment. (d) The firms financial resources. (e) All of the preceding. in your own words, explain the meaning of this short poem by emily dickinson. your response should be at least three (3) sentences. use what you know about inverse functions to determine the derivative of the inverse function beginning with f ( f -1(x)).